Adaptive synchronization of an uncertain coupling complex network with time-delay

Abstract

This paper proposes a new complex dynamical network model, in which the nodes are coupled with time-delay, and the inner coupling matrices are with uncertain forms. This model can describe the real world more realistically and can be widely used in practical engineering application. Synchronization in the proposed network model is analyzed by the Lyapunov stability theory and some adaptive controllers are designed to ensure that the proposed network achieve local and global synchronization, respectively. Theoretical analysis and numerical simulations fully verify the main results.